Geometric sequence general form: a * r^n
For Greg, we are given the elimination of the medicine as a geometric nth term equation:
200 * (0.88)^t
The amount of medicine starts at 200 mg and every hour, decreases by 12%;
To compare the decrease in medicine in the body between the two, it is useful to get them in a common form;
So, using the data provided for Henry, we will also attempt to find a geometric nth term equation that will work if we can:
As a geometric sequence, the first term would be a and the second term would be ar where r = multiplier;
If we divide the second term by the first term, we will therefore get r, which is 0.94 for Henry;
We can check that the data for Henry can be represented as a geometric sequence by using the multiplier (r) to see if we can generate the third value of the data;
We do this like so:
282 * (0.94)^2 = 249.18 (correct to 2 d.p)
We can tell that the data for Henry is also a geometric sequence.
So now, we just look at the multiplier for Henry and we find that every hour, the medicine decreases by 6%, half of the rate of decrease for Greg.
The answer is therefore that <span>Henry's body eliminated the antibiotic at half of the rate at which Greg's body eliminated the antibiotic.</span>
Answer:
C
Step-by-step explanation:
Because a parameter is regarding a whole population. The other options are samples of a population.
Use order of operations.
-23-20-(-17)+(-5)x(-2)+4x5
Do all multiplication steps.
-23-20-(-17)+10+20
Do all addition and subtraction steps fro left to right.
-43-(-17)+10+20
-26+10+20
-16+20
answer: 4
Answer:
B
Step-by-step explanation:
The equation is:
y = 2x + 3
Put x as 2.
y = 2(2) + 3
y = 4 + 3
y = 7
Put x as 3.
y = 2(3) + 3
y = 6 + 3
y = 9
Put x as 4.
y = 2(4) + 3
y = 8 + 3
y = 11
Put x as 5.
y = 2(5) + 3
y = 10 + 3
y = 13
In one revolution of the wheel, a point on the edge travels a distance equal to the circumference of the wheel.
The wheel has radius 1 ft, so its circumference is 2π (1 ft) = 2π ft.
Then the point has a linear speed of
(1/4 rev/s) * (2π ft/rev) = 2π/4 ft/s = π/2 ft/s
